This paper studies modelling and existence issues for market models of stochastic implied volatility in a continuous-time framework with one stock, one bank account and a family of European options for all maturities with a fixed payoff function h. We first characterize absence of arbitrage in...

In this work, we investigate SDEs whose coefficients may depend on the entire past of the solution process. We introduce different Lipschitztype conditions on the coefficients. It turns out that for existence and uniqueness of a strong solution it suffices to have Lipschitz continuity in mean,...

In this paper we construct arbitrage-free market models of stochastic volatility type for one stock, one bank account and a finite family of European call options with various strikes and maturities. We first introduce local implied volatilities and price level as market observables which...

A generalized correlated random walk is a process X_k of partial sums of random variables Y_j such that (X,Y) forms a Markov chain. For a sequence X^n of such processes where each Y^n_j takes only two values, we prove weak convergence to a diffusion process whose generator is explicitly...

We study the dynamic utility indifference value process p(X) when the usefulness of X is evaluated via a dynamic monetary concave utility functional (DMCUF) instead of von Neumann/Morgenstern expected utility. A DMCUF is minus a dynamic convex risk measure. The key tools for our investigations...

We introduce and study no-good-deal valuation bounds defined in terms of expected utility. A utility-based good deal is a payoff whose expected utility is toohigh in comparison to the utility of its price. Forbidding good deals induces, viaduality, restrictions on pricing kernels and thereby...

We study the exponential utility indifference valuation of a contingent claim B in an incomplete market driven by two Brownian motions. The claim depends on a nontradable asset stochastically correlated with the traded asset available for hedging. We use martingale arguments to provide upper and...

Based on the APARCH model and two outlier detection methods, we computereliable time series of volatility asymmetry for 49 countries with relatively few ob-servations. Results show a steady increase in the asymmetry over the years for mostcountries. We nd that economic development and market...

This paper determines the value of asset tradeability in an option pricing framework.In our model, tradeability is valuable since it allows investors to exploit temporary mis-pricings of stocks. The model delivers several novel insights on the value of tradeability:The value of tradeability is...

Demand is growing for a better understanding of how assets are priced in countries outside of the U.S.While financial data are available for many firms world-wide, it is important to have a reliable andreplicable method of constructing high-quality systematic risk factors from these data. This...